Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-06T04:58:13.613Z Has data issue: false hasContentIssue false

The Splitting of the Hochschild-Serre Spectral Sequence for a Product of Groups

Published online by Cambridge University Press:  20 November 2018

Uwe Jannsen*
Affiliation:
Fakultät für Mathematik, Universität Regensburg, Universitätsstraße 31, D-8400 Regensburg
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We show that the Hochschild-Serre spectral sequence for a product G x H of abstract or profinite groups splits for G-modules, and that this splitting is not functorial.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Deligne, P., Théorie de Hodge II, Publ. Math. I.H.E.S. 40 (1971), 558.Google Scholar
2. Milgram, R. J., The Determination of the Schur Subgroup, preprint 1977.Google Scholar
3. Serre, J. P., Cohomologie Galoisienne, Springer Lecture Notes in Math. 5 (1973).Google Scholar